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Finding the Fourth Proportional to 227,751.40, 315,015.78 and 201,255.40

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Solution

The fourth proportional to 227,751.40, 315,015.78 and 201,255.40 is: 278,367.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,751.40 : 315,015.78 = 201,255.40 : x
  2. Step 2: Convert to fraction form
    227,751.40/315,015.78 = 201,255.40/x
  3. Step 3: Cross multiply
    227,751.40x = 315,015.78 × 201,255.40
  4. Step 4: Simplify right side
    227,751.40x = 63,398,626,810.21
  5. Step 5: Solve for x
    x = 63,398,626,810.21/227,751.40
  6. Step 6: Final answer
    x = 278,367.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.